{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b4210a1e-0ac9-41c7-98ce-d6c4e029bdce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 680x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# Set font to Times New Roman and ensure font is embedded in the image\n",
    "plt.rcParams['font.sans-serif'] = ['Times New Roman']\n",
    "plt.rcParams['axes.unicode_minus'] = False  # Solve the problem of displaying minus signs\n",
    "\n",
    "# Create figure and subplot\n",
    "fig = plt.figure(figsize=(6.8, 3))\n",
    "ax = fig.add_subplot(111)\n",
    "ax.grid(True, linestyle='--', alpha=0.5)\n",
    "\n",
    "# Value range for AGE5 (14 age groups)\n",
    "age_groups = ['18-24', '25-29', '30-34', '35-39', '40-44', '45-49', \n",
    "              '50-54', '55-59', '60-64', '65-69', '70-74', '75-79', '80-84', '85-101']\n",
    "age_values = np.arange(14)\n",
    "\n",
    "# Parameters for the Empty Model\n",
    "# China\n",
    "intercept_empty_china = 1.9992\n",
    "beta_age5_empty_china = -0.00310\n",
    "# Russia\n",
    "intercept_empty_russia = 2.4798\n",
    "beta_age5_empty_russia = -0.00870\n",
    "# US\n",
    "intercept_empty_us = 2.8454\n",
    "beta_age5_empty_us = -0.00219\n",
    "\n",
    "# Calculate predicted values (Empty Model prediction = intercept + slope * age group index)\n",
    "predicted_empty_china = intercept_empty_china + beta_age5_empty_china * age_values\n",
    "predicted_empty_russia = intercept_empty_russia + beta_age5_empty_russia * age_values\n",
    "predicted_empty_us     = intercept_empty_us     + beta_age5_empty_us     * age_values\n",
    "\n",
    "# Plot predicted values for the empty model\n",
    "line_china, = ax.plot(age_groups, predicted_empty_china, color='black', linestyle='-', \n",
    "                      marker='o', markerfacecolor='black', linewidth=4, \n",
    "                      label='China')\n",
    "line_russia, = ax.plot(age_groups, predicted_empty_russia, color='#808080', linestyle='-', \n",
    "                       marker='s', markerfacecolor='#808080', linewidth=4, \n",
    "                       label='Russia')\n",
    "line_us, = ax.plot(age_groups, predicted_empty_us, color='#D3D3D3', linestyle='-', \n",
    "                       marker='^', markerfacecolor='#D3D3D3', linewidth=4, \n",
    "                       label='the U.S.')\n",
    "\n",
    "# Set chart labels (use Times New Roman font)\n",
    "plt.xlabel('(a) Age Effects on Perceptions (Empty Model)', fontsize=9, fontname='Times New Roman')\n",
    "plt.ylabel('Predicted Value', fontsize=9, fontname='Times New Roman')\n",
    "plt.xticks(rotation=0, fontsize=9, fontname='Times New Roman')\n",
    "plt.yticks(fontsize=9, fontname='Times New Roman')\n",
    "\n",
    "# Add legend, placing it outside the plot to avoid overlapping the lines\n",
    "plt.legend(fontsize=9, prop={'family': 'Times New Roman'}, loc='upper left', bbox_to_anchor=(1.02, 1))\n",
    "\n",
    "# Save the image and display (embed Times New Roman font, DPI = 1000)\n",
    "plt.savefig('figure_empty_models.png', dpi=1000, bbox_inches='tight')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b0810e5e-68a9-4b0b-849d-317d790d0dd4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 732x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import matplotlib.ticker as ticker  # Import the ticker module\n",
    "\n",
    "# Set font to Times New Roman and ensure font is embedded in the image\n",
    "plt.rcParams['font.sans-serif'] = ['Times New Roman']\n",
    "plt.rcParams['axes.unicode_minus'] = False  # Solve the problem of displaying minus signs\n",
    "\n",
    "# Create figure size to fit portrait A4 paper\n",
    "fig = plt.figure(figsize=(7.32, 3))  # Portrait A4 size: 8.27 x 11.69 inches\n",
    "\n",
    "# Create an axis on the figure\n",
    "ax = fig.add_subplot(111)\n",
    "ax.grid(True, linestyle='--', alpha=0.5)\n",
    "\n",
    "# Value range for AGE5 (14 age groups)\n",
    "age_groups = ['18-24', '25-29', '30-34', '35-39', '40-44', '45-49', \n",
    "              '50-54', '55-59', '60-64', '65-69', '70-74', '75-79', '80-84', '85-101']\n",
    "age_values = np.arange(14)\n",
    "\n",
    "# Parameters for the Full Model\n",
    "# China\n",
    "intercept_full_china = 1.9992\n",
    "beta_age5_full_china = -0.00310\n",
    "# Russia\n",
    "intercept_full_russia = 2.4798\n",
    "beta_age5_full_russia = -0.00870\n",
    "# US\n",
    "intercept_full_us = 2.6747\n",
    "beta_age5_full_us = -0.00168\n",
    "\n",
    "# Calculate predicted values (Full Model prediction = intercept + slope * age group index)\n",
    "predicted_full_china = intercept_full_china + beta_age5_full_china * age_values\n",
    "predicted_full_russia = intercept_full_russia + beta_age5_full_russia * age_values\n",
    "predicted_full_us     = intercept_full_us     + beta_age5_full_us     * age_values\n",
    "\n",
    "# Plot predicted values for the full model\n",
    "line_china, = ax.plot(age_groups, predicted_full_china, color='black', linestyle='-', \n",
    "                      marker='o', markerfacecolor='black', linewidth=4, \n",
    "                      label='China')\n",
    "line_russia, = ax.plot(age_groups, predicted_full_russia, color='#808080', linestyle='-', \n",
    "                       marker='s', markerfacecolor='#808080', linewidth=4, \n",
    "                       label='Russia')\n",
    "line_us, = ax.plot(age_groups, predicted_full_us, color='#D3D3D3', linestyle='-', \n",
    "                   marker='^', markerfacecolor='#D3D3D3', linewidth=4, \n",
    "                   label='the U.S.')\n",
    "\n",
    "# Set chart labels (use Times New Roman font)\n",
    "plt.xlabel('(b) Age Effects on Perceptions (Full Model)', fontsize=9, fontname='Times New Roman')\n",
    "plt.ylabel('Predicted Value', fontsize=9, fontname='Times New Roman')\n",
    "plt.xticks(rotation=0, fontsize=9, fontname='Times New Roman')\n",
    "plt.yticks(fontsize=9, fontname='Times New Roman')\n",
    "\n",
    "# Add legend, placing it outside the plot to avoid overlapping the lines\n",
    "plt.legend(fontsize=9, prop={'family': 'Times New Roman'}, loc='upper left', bbox_to_anchor=(1.02, 1))\n",
    "\n",
    "# Save the image and display (embed Times New Roman font, DPI = 1000)\n",
    "plt.savefig('figure_full_models.png', dpi=1000, bbox_inches='tight')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "12620f49-3305-4891-a03c-dcdb2a807607",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 680x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from matplotlib.lines import Line2D\n",
    "\n",
    "# Set font to Times New Roman and ensure the font is embedded in the image\n",
    "plt.rcParams['font.sans-serif'] = ['Times New Roman']\n",
    "plt.rcParams['axes.unicode_minus'] = False  # Solve the problem of displaying minus signs\n",
    "\n",
    "# Create figure and subplot\n",
    "fig = plt.figure(figsize=(6.8, 3))\n",
    "ax = fig.add_subplot(111)\n",
    "ax.grid(True, linestyle='--', alpha=0.5)\n",
    "\n",
    "# Data: years and corresponding coefficients\n",
    "years = ['2007', '2008', '2009', '2010', '2011', '2012', '2013', '2014', \n",
    "         '2015', '2016', '2017', '2018', '2019', '2020', '2021', '2022']\n",
    "\n",
    "model1_coeffs_china = [0.360, -0.019, 0.275, 0.277, 0.373, -0.005, -0.220, -0.252, -0.188, \n",
    "                       -0.104, -0.012, 0.063, -0.012, -0.216, -0.178, -0.141]\n",
    "model1_coeffs_russia = [0.003, np.nan, 0.034, 0.161, 0.256, -0.003, 0.146, 0.041, -0.061, \n",
    "                        np.nan, 0.070, 0.024, 0.011, -0.136, np.nan, -0.546]\n",
    "model1_coeffs_us = [-0.064, -0.244, -0.089, -0.032, 0.412, 0.061, 0.053, -0.001, 0.031, \n",
    "                    0.122, -0.117, 0.016, 0.013, -0.332, 0.093, 0.078]\n",
    "\n",
    "# Define colors: black, gray, white series\n",
    "color_china  = '#2C2C2C'   # China: darkest\n",
    "color_russia = '#808080'   # Russia: medium gray\n",
    "color_us     = '#D3D3D3'   # US: lightest\n",
    "\n",
    "# Plot China and US data (directly plot with markers)\n",
    "ax.plot(years, model1_coeffs_china, color=color_china, linestyle='-', marker='o', \n",
    "        label='China', linewidth=4)\n",
    "ax.plot(years, model1_coeffs_us, color=color_us, linestyle='-', marker='^', \n",
    "        label='US', linewidth=4)\n",
    "\n",
    "# Process Russia data:\n",
    "russia_arr = np.array(model1_coeffs_russia)\n",
    "inds = np.arange(len(russia_arr))\n",
    "not_nan = ~np.isnan(russia_arr)\n",
    "# Perform linear interpolation to fill missing values\n",
    "russia_interp = np.interp(inds, inds[not_nan], russia_arr[not_nan])\n",
    "\n",
    "# Plot the continuous line (without markers)\n",
    "ax.plot(years, russia_interp, color=color_russia, linestyle='-', linewidth=4)\n",
    "# Use scatter to plot observed data points (show as squares)\n",
    "observed_inds = np.where(not_nan)[0]\n",
    "observed_years = [years[i] for i in observed_inds]\n",
    "observed_values = russia_arr[observed_inds]\n",
    "ax.scatter(observed_years, observed_values, color=color_russia, marker='s', s=40)\n",
    "\n",
    "# Custom legend handles (ensure colors are set correctly)\n",
    "handle_china = Line2D([0], [0], color=color_china, marker='o', linestyle='-', \n",
    "                      linewidth=4, markersize=8, label='China')\n",
    "handle_russia = Line2D([0], [0], color=color_russia, marker='s', linestyle='-', \n",
    "                       linewidth=4, markersize=8, label='Russia')\n",
    "handle_us = Line2D([0], [0], color=color_us, marker='^', linestyle='--', \n",
    "                   linewidth=4, markersize=8, label='the U.S.')\n",
    "\n",
    "# Place the legend outside the plot area (vertically centered)\n",
    "ax.legend(handles=[handle_china, handle_russia, handle_us],\n",
    "          loc='center left', bbox_to_anchor=(1, 0.5),\n",
    "          fontsize=9, prop={'family': 'Times New Roman'})\n",
    "\n",
    "# Set chart labels and ticks\n",
    "plt.xlabel('(a) Period Effects on Perceptions (Empty Model)', fontsize=9, fontname='Times New Roman')\n",
    "plt.ylabel('Predicted Verbal Test Score', fontsize=9, fontname='Times New Roman')\n",
    "plt.xticks(rotation=0, fontsize=9, fontname='Times New Roman')\n",
    "plt.yticks(fontsize=9, fontname='Times New Roman')\n",
    "\n",
    "# Save the figure (embed Times New Roman font, DPI = 1000) and show\n",
    "plt.savefig('figure_2-2_bw.png', dpi=1000, bbox_inches='tight')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c644d9b5-bd45-4444-a123-ea7ffcf2cf29",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 680x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from matplotlib.lines import Line2D\n",
    "\n",
    "# Set font to Times New Roman and ensure the font is embedded in the image\n",
    "plt.rcParams['font.sans-serif'] = ['Times New Roman']\n",
    "plt.rcParams['axes.unicode_minus'] = False  # Solve the problem of displaying minus signs\n",
    "\n",
    "# Create figure and subplot\n",
    "fig = plt.figure(figsize=(6.8, 3))\n",
    "ax = fig.add_subplot(111)\n",
    "ax.grid(True, linestyle='--', alpha=0.5)\n",
    "\n",
    "# Data: years and corresponding coefficients\n",
    "years = ['2007', '2008', '2009', '2010', '2011', '2012', '2013', '2014', \n",
    "         '2015', '2016', '2017', '2018', '2019', '2020', '2021', '2022']\n",
    "\n",
    "model1_coeffs_china = [0.372, -0.015, 0.280, 0.281, 0.385, \n",
    "                        -0.002, -0.216, -0.257, -0.190, -0.107, \n",
    "                        -0.014, 0.060, -0.018, -0.223, -0.186, -0.149]\n",
    "model1_coeffs_russia = [0.011, np.nan, 0.035, 0.162, 0.261, -0.003, 0.145, 0.033, -0.067, \n",
    "                        np.nan, 0.067, 0.026, 0.013, -0.138, np.nan, -0.545]\n",
    "\n",
    "model1_coeffs_us = [-0.048, -0.238, -0.079, -0.025, 0.432, \n",
    "                    0.067, 0.059, -0.004, 0.029, 0.115, \n",
    "                    -0.117, 0.006, 0.001, -0.345, 0.081, 0.065]\n",
    "\n",
    "# Define colors: black, gray, white series\n",
    "color_china  = '#2C2C2C'   # China: darkest\n",
    "color_russia = '#808080'   # Russia: medium gray\n",
    "color_us     = '#D3D3D3'   # US: lightest\n",
    "\n",
    "# Plot China and US data (directly plot with markers)\n",
    "ax.plot(years, model1_coeffs_china, color=color_china, linestyle='-', marker='o', \n",
    "        label='China', linewidth=4)\n",
    "ax.plot(years, model1_coeffs_us, color=color_us, linestyle='-', marker='^', \n",
    "        label='US', linewidth=4)\n",
    "\n",
    "# Process Russia data:\n",
    "russia_arr = np.array(model1_coeffs_russia)\n",
    "inds = np.arange(len(russia_arr))\n",
    "not_nan = ~np.isnan(russia_arr)\n",
    "# Perform linear interpolation to fill missing values\n",
    "russia_interp = np.interp(inds, inds[not_nan], russia_arr[not_nan])\n",
    "\n",
    "# Plot the continuous line (without markers)\n",
    "ax.plot(years, russia_interp, color=color_russia, linestyle='-', linewidth=4)\n",
    "# Use scatter to plot observed data points (show as squares)\n",
    "observed_inds = np.where(not_nan)[0]\n",
    "observed_years = [years[i] for i in observed_inds]\n",
    "observed_values = russia_arr[observed_inds]\n",
    "ax.scatter(observed_years, observed_values, color=color_russia, marker='s', s=40)\n",
    "\n",
    "# Custom legend handles (ensure colors are set correctly)\n",
    "handle_china = Line2D([0], [0], color=color_china, marker='o', linestyle='-', \n",
    "                      linewidth=4, markersize=8, label='China')\n",
    "handle_russia = Line2D([0], [0], color=color_russia, marker='s', linestyle='-', \n",
    "                       linewidth=4, markersize=8, label='Russia')\n",
    "handle_us = Line2D([0], [0], color=color_us, marker='^', linestyle='--', \n",
    "                   linewidth=4, markersize=8, label='the U.S.')\n",
    "\n",
    "# Place the legend outside the plot area (vertically centered)\n",
    "ax.legend(handles=[handle_china, handle_russia, handle_us],\n",
    "          loc='center left', bbox_to_anchor=(1, 0.5),\n",
    "          fontsize=9, prop={'family': 'Times New Roman'})\n",
    "\n",
    "# Set chart labels and ticks\n",
    "plt.xlabel('(b) Period Effects on Perceptions (Full Model)', fontsize=9, fontname='Times New Roman')\n",
    "plt.ylabel('Predicted Verbal Test Score', fontsize=9, fontname='Times New Roman')\n",
    "plt.xticks(rotation=0, fontsize=9, fontname='Times New Roman')\n",
    "plt.yticks(fontsize=9, fontname='Times New Roman')\n",
    "\n",
    "# Save the figure (embed Times New Roman font, DPI = 1000) and show\n",
    "plt.savefig('figure_2-2_bw.png', dpi=1000, bbox_inches='tight')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "f93d497b-5a67-4842-9eb8-18f6d5ab2c79",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 680x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.ticker as ticker\n",
    "from matplotlib import rcParams\n",
    "\n",
    "# Set font to Times New Roman and ensure the font is embedded in the image\n",
    "plt.rcParams['font.sans-serif'] = ['Times New Roman']\n",
    "plt.rcParams['axes.unicode_minus'] = False  # Solve the problem of displaying minus signs\n",
    "\n",
    "# Create figure and subplot\n",
    "fig = plt.figure(figsize=(6.8, 3))  # Keep original figure width\n",
    "ax = fig.add_subplot(111)\n",
    "ax.grid(True, linestyle='--', alpha=0.5)\n",
    "\n",
    "# Data: cohorts and corresponding coefficients\n",
    "cohorts = ['1910-29', '1930-34', '1935-39', '1940-45', '1945-49', \n",
    "           '1950-54', '1955-59', '1960-64', '1965-69', '1970-74', \n",
    "           '1975-79', '1980-84', '1985-89', '1990-94', '1995-99', \n",
    "           '2000-04']\n",
    "model1_coeffs_china = [0.196, 0.084, 0.019, -0.010, -0.071, -0.085, -0.050, -0.053, -0.072, \n",
    "                       -0.105, -0.081, -0.130, -0.053, 0.020, 0.104, 0.287]\n",
    "model2_coeffs_russia = [0.004, 0.062, 0.055, 0.016, -0.056, -0.056, -0.042, \n",
    "                        -0.003, 0.007, -0.004, -0.036, -0.051, 0.008, -0.010, 0.050, 0.057]\n",
    "model2_coeffs_us = [0.011, 0.004, -0.003, -0.023, -0.003, -0.013, 0.008, 0.014, 0.026, -0.001, \n",
    "                    -0.012, -0.028, 0.006, 0.004, -0.001, 0.010]\n",
    "\n",
    "# Define colors for each data series (all in grayscale)\n",
    "color_china  = 'black'      # China: dark gray\n",
    "color_russia = '#808080'    # Russia: gray\n",
    "color_us     = '#D3D3D3'    # US: gray-black\n",
    "\n",
    "# Plot the line chart\n",
    "ax.plot(cohorts, model1_coeffs_china, color=color_china, linestyle='-', marker='o', \n",
    "        label='China', linewidth=4)\n",
    "ax.plot(cohorts, model2_coeffs_russia, color=color_russia, linestyle='-', marker='s', \n",
    "        markerfacecolor='none', label='Russia', linewidth=4)\n",
    "ax.plot(cohorts, model2_coeffs_us, color=color_us, linestyle='-', marker='^', \n",
    "        markerfacecolor='none', label='the U.S.', linewidth=4)\n",
    "\n",
    "# Set chart title and labels, using Times New Roman font\n",
    "plt.xlabel('(a) Cohort Effects on Perceptions (Empty Model)', fontsize=9, fontname='Times New Roman')\n",
    "plt.ylabel('Predicted Verbal Test Score', fontsize=9, fontname='Times New Roman')\n",
    "\n",
    "# Set x-axis label rotation to horizontal, using Times New Roman font\n",
    "plt.xticks(rotation=45, fontsize=9, fontname='Times New Roman')\n",
    "plt.yticks(fontsize=9, fontname='Times New Roman')\n",
    "\n",
    "# Set the y-axis range\n",
    "ax.set_ylim(-0.15, 0.3)\n",
    "\n",
    "# Add legend and place it outside the upper right corner of the plot\n",
    "plt.legend(fontsize=9, prop={'family': 'Times New Roman'}, loc='upper left', bbox_to_anchor=(1, 1))\n",
    "\n",
    "# Show grid\n",
    "plt.grid(True)\n",
    "\n",
    "# Save the figure, embed Times New Roman font, and save as 1000 DPI\n",
    "plt.savefig('cohort_effects_model1_model2_bw.png', dpi=1000, bbox_inches='tight')\n",
    "\n",
    "# Show the figure\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "2d46bade-a119-4638-a851-300280bed94f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 680x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.ticker as ticker\n",
    "from matplotlib import rcParams\n",
    "\n",
    "# 设置字体为 Times New Roman，并确保字体嵌入图像\n",
    "plt.rcParams['font.sans-serif'] = ['Times New Roman']\n",
    "plt.rcParams['axes.unicode_minus'] = False  # 解决负号显示问题\n",
    "\n",
    "# 创建图形和子图\n",
    "fig = plt.figure(figsize=(6.8, 3))  # 保持原始图形宽度\n",
    "ax = fig.add_subplot(111)\n",
    "ax.grid(True, linestyle='--', alpha=0.5)\n",
    "\n",
    "# 数据：世代和对应的系数\n",
    "cohorts = ['1910-29', '1930-34', '1935-39', '1940-45', '1945-49', \n",
    "           '1950-54', '1955-59', '1960-64', '1965-69', '1970-74', \n",
    "           '1975-79', '1980-84', '1985-89', '1990-94', '1995-99', \n",
    "           '2000-04']\n",
    "model1_coeffs_china = [0.199, 0.087, 0.020, -0.008, -0.070, \n",
    "                       -0.086, -0.056, -0.057, -0.075, -0.110, \n",
    "                       -0.084, -0.134, -0.058, 0.016, 0.105, 0.310]\n",
    "\n",
    "model2_coeffs_russia = [0.004, 0.062, 0.055, 0.016, -0.056, \n",
    "                        -0.056, -0.042, -0.003, 0.007, -0.004, \n",
    "                        -0.036, -0.051, 0.008, -0.010, 0.050, 0.057]\n",
    "\n",
    "model2_coeffs_us = [0.011, 0.006, -0.002, -0.021, -0.002, \n",
    "                    -0.013, 0.004, 0.011, 0.025, -0.002, \n",
    "                    -0.012, -0.028, 0.005, 0.004, -0.001, 0.014]\n",
    "\n",
    "# 定义各数据系列的颜色（均使用灰度色）\n",
    "color_china  = 'black'   # 中国：深灰色\n",
    "color_russia = '#808080'   # 俄罗斯：灰色\n",
    "color_us     = '#D3D3D3'   # 美国：灰黑色\n",
    "\n",
    "# 绘制折线图\n",
    "ax.plot(cohorts, model1_coeffs_china, color=color_china, linestyle='-', marker='o', \n",
    "        label='China', linewidth=4)\n",
    "ax.plot(cohorts, model2_coeffs_russia, color=color_russia, linestyle='-', marker='s', \n",
    "        markerfacecolor='none', label='Russia', linewidth=4)\n",
    "ax.plot(cohorts, model2_coeffs_us, color=color_us, linestyle='-', marker='^', \n",
    "        markerfacecolor='none', label='the U.S.', linewidth=4)\n",
    "\n",
    "# 设置图表标题和标签，使用 Times New Roman 字体\n",
    "plt.xlabel('(b) Cohort Effects on Perceptions (Full Model)', fontsize=9, fontname='Times New Roman')\n",
    "plt.ylabel('Predicted Verbal Test Score', fontsize=9, fontname='Times New Roman')\n",
    "\n",
    "# 设置 x 轴标签的旋转角度为水平，使用 Times New Roman 字体\n",
    "plt.xticks(rotation=45, fontsize=9, fontname='Times New Roman')\n",
    "plt.yticks(fontsize=9, fontname='Times New Roman')\n",
    "\n",
    "# 设置 y 轴的范围\n",
    "ax.set_ylim(-0.15, 0.35)\n",
    "\n",
    "# 添加图例，将图例放置在图形右上角外侧\n",
    "plt.legend(fontsize=9, prop={'family': 'Times New Roman'}, loc='upper left', bbox_to_anchor=(1, 1))\n",
    "\n",
    "# 显示网格\n",
    "plt.grid(True)\n",
    "\n",
    "# 保存图形，嵌入 Times New Roman 字体，并保存为 1000 DPI\n",
    "plt.savefig('cohort_effects_model1_model2_bw.png', dpi=1000, bbox_inches='tight')\n",
    "\n",
    "# 显示图形\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "42bee9b5-70aa-4c0d-b84d-dd549f23cdb7",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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